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Finding the Fourth Proportional to 50,746.50, 76,131.02 and 15,206.40

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Solution

The fourth proportional to 50,746.50, 76,131.02 and 15,206.40 is: 22,812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,746.50 : 76,131.02 = 15,206.40 : x
  2. Step 2: Convert to fraction form
    50,746.50/76,131.02 = 15,206.40/x
  3. Step 3: Cross multiply
    50,746.50x = 76,131.02 × 15,206.40
  4. Step 4: Simplify right side
    50,746.50x = 1,157,678,780.54
  5. Step 5: Solve for x
    x = 1,157,678,780.54/50,746.50
  6. Step 6: Final answer
    x = 22,812.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.